I always thought the Disciples were a conservative sect.
Nope.
They originated out of the 19th century Restoration Movement, most of whose descendants are fairly conservative, but they are a liberal ecumenical faction of it. They have a congregational structure and other than a general belief in immersion baptism, there isn't anything I'd consider "conservative" in their practices. They were the first major mainline church to have a woman leading them. I also wouldn't be surprised if there were a merger between the Disciples of Christ and the United Church of Christ sometime in the next decade or two. They already allow ministers ordained by one to lead a church of the other.